Commutative subloop-free loops

Martin Beaudry; Louis Marchand

Displaying similar documents to “Commutative subloop-free loops”

Regular permutation sets and loops

Rita Capodaglio (2003)

Bollettino dell'Unione Matematica Italiana

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Two suitable composition laws are defined in a regular permutation set in order to find new characterizations of some important classes of loops.

On Moufang A-loops

Jon D. Phillips (2000)

Commentationes Mathematicae Universitatis Carolinae

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In a series of papers from the 1940’s and 1950’s, R.H. Bruck and L.J. Paige developed a provocative line of research detailing the similarities between two important classes of loops: the diassociative A-loops and the Moufang loops ([1]). Though they did not publish any classification theorems, in 1958, Bruck’s colleague, J.M. Osborn, managed to show that diassociative, commutative A-loops are Moufang ([5]). In [2] we relaunched this now over 50 year old program by examining conditions...

Bol-loops of order $3 \cdot 2^{n}$

Daniel Wagner, Stefan Wopperer (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this article we construct proper Bol-loops of order $3 \cdot 2^{n}$ using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.

Displaying similar documents to “Commutative subloop-free loops”

Regular permutation sets and loops

On Moufang A-loops

Bol-loops of order 3 · 2 n

Bol-loops of order $3 \cdot 2^{n}$